Majorana modes and $p$-wave superfluids for fermionic atoms in optical lattices

Abstract

We present a simple approach to create a strong $p$-wave interaction for fermions in an optical lattice. The crucial step is that the combination of a lattice setup with different orbital states and $s$-wave interactions can give rise to a strong induced $p$-wave pairing. We identify different topological phases and demonstrate that the setup offers a natural way to explore the transition from Kitaev's Majorana wires to two-dimensional $p$-wave superfluids. We demonstrate how this design can induce Majorana modes at edge dislocations in the optical lattice, and we provide an experimentally feasible protocol for the observation of the non-Abelian statistics.

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Cited by in corpus (10)

• Topological classification of dynamical phase transitions
• Topological superfluid in a Fermi-Bose mixture with a high critical temperature
• Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Topological superfluidity of lattice fermions inside a Bose-Einstein condensate
• Josephson Coupled Moore-Read States
• An experimental proposal to observe non-abelian statistics of Majorana-Shockley fermions in an optical lattice
• Supersolid phases of dipolar fermions in a two-dimensional-lattice bilayer array
• Odd-parity topological superfluidity for fermions in a bond-centered square optical lattice
• Stabilizing Topological Superfluidity of Lattice Fermions